Maryland Light, a U.S. light fixtures manufacturer, is considering an investment in Japan. The dollar cost of equity for Maryland Light is $13.34 \%$. You are in the corporate treasury department, and you need to know the comparable cost of equity in Japanese yen for a project with free cash flows that are uncorrelated with spot exchange rates. The risk-free interest rates on dollars and yen are $r_{\mathrm{S}}=5.64 \%$ and $r_{\mathrm{Y}}=1.28 \%$, respectively. Maryland Light is willing to assume that capital markets are internationally integrated. What is the yen cost of equity?

A telephone exchange consists of all phone numbers with the same three-digit prefix.

a. How many different phone numbers are possible in a given exchange?

b. If a community has 95,000 telephone subscribers, what is the minimum number of exchanges needed?

c. How many phone numbers are possible in a given three-digit area code? (Assume all possible exchanges are permitted.)

Based on data from Nielsen Research, there is a 15% chance that any television that is turned on during the time of the evening newscasts will be tuned to ABC’s evening news show. Your company wishes to advertise on a small local station carrying ABC that serves a community with 2,500 households that regularly tune in during this time slot. Find the approximate probability that at least 400 households will be tuned in to the show.

Think of a problem facing your school or community for which there are two or more possible solutions or courses of action. Create a balance sheet listing each possible course of action and its pros and cons. Then write a brief report explaining what your final decision is, how you reached that decision, and how the balance sheet helped you arrive at your decision.

In one model of the changing population $P(t)$ of a community, it is assumed that

$$\frac { d P } { d t } = \frac { d B } { d t } - \frac { d D } { d t },$$

where $dB/dt$ and $dD/dt$ are the birth and death rates, respectively. (a) Solve for $P(t)$ if $dB/dt = k_1P$ and $dD/dt = k_2P$. (b) Analyze the cases $k_1 > k_2, k1 = k2$, and $k_1 < k_2$.

Create multiple-choice test questions for each content and academic vocabulary term. Content Vocabulary: entrepreneurship, entrepreneurs, franchise, sole proprietorship, unlimited liability, partnership, general partnership, limited partnership, limited liability, corporation, stockholders, foreign corporation, limited liability company (LLC), Doing Business As (DBA), Articles of Incorporation. Academic Vocabulary: indication, domestic, community, vary.

Think of a problem facing your school or community for which there are two or more possible solutions or courses of action. Create a balance sheet listing each possible course of action and its pros and cons. Then write a brief report explaining what your final decision is, how you reached that decision, and how the balance sheet helped you arrive at your decision.

The rate at which an epidemic spreads through a community with 2,000 susceptible residents is jointly proportional to the number of residents who have been infected and the number of susceptible residents who have not. Express the number of residents who have been infected as a function of time (in weeks) if 500 residents had the disease initially and 855 residents had been infected by the end of the first week.

Some acacia trees have evolved a special relationship with certain species of ants. The trees provide food and nesting sites (in the form of hollow thorns) for the ants. The ants attack insects and other species that try to eat the acacia, and they may also kill plants that grow in the immediate vicinity. Discuss the species interactions (food chain, competition, symbiosis, etc.) among the species in this community.

A certain community is composed of m families,

$$n_i$$

of which have i children,

$$\sum _ { i = 1 } ^ { r } n _ { i } = m$$

. If one of the families is randomly chosen, let X denote the number of children in that family. If one of the

$$\sum _ { i = 1 } ^ { r } i n _ { i }$$

children is randomly chosen, let Y denote the total number of children in the family of that child. Show that

$$E [ Y ] \geq E [ X ]$$

.

Complete the sentence using each term once. a. charismatic authority b. monopoly c. downsizing d. traditional authority e. power elite f. pluralism g. elitism h. primary sector i. interest group j. corporation k. rational-legal authority I. power. __________ is a system in which a community or society is controlled from the top by a few individuals or organizations.

It is estimated that t years from now the population of a certain lakeside community will be changing at the rate of $0.6 t^{2}+0.2 t+0.5$ thousand people per year. Environmentalists have found that the level of pollution in the lake increases at the rate of approximately 5 units per 1,000 people. By how much will the pollution in the lake increase during the next 2 years?

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 35% of the time, four events 25% of the time, three events 20% of the time, two events 10% of the time, one event 5% of the time, and no events 5% of the time. What values does x take on?

Purse Corporation owns 70 percent of Scarf Company's voting shares. On January 1, 20X3, Scarf sold bonds with a par value of $600,000 at 98. Purse purchased$400,000 par value of the bonds; the remainder was sold to non-affiliates. The bonds mature in five years and pay an annual interest rate of 8 percent. Interest is paid semiannually on January 1 and July 1.

Required

Give all worksheet consolidation entries needed to remove the effects of the inter-corporate bond ownership in preparing consolidated financial statements for 20X4.